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Simplifying 4(6x + 7) + -2(9x + -8) = 3(x + 9) + -1 Reorder the terms: 4(7 + 6x) + -2(9x + -8) = 3(x + 9) + -1 (7 * 4 + 6x * 4) + -2(9x + -8) = 3(x + 9) + -1 (28 + 24x) + -2(9x + -8) = 3(x + 9) + -1 Reorder the terms: 28 + 24x + -2(-8 + 9x) = 3(x + 9) + -1 28 + 24x + (-8 * -2 + 9x * -2) = 3(x + 9) + -1 28 + 24x + (16 + -18x) = 3(x + 9) + -1 Reorder the terms: 28 + 16 + 24x + -18x = 3(x + 9) + -1 Combine like terms: 28 + 16 = 44 44 + 24x + -18x = 3(x + 9) + -1 Combine like terms: 24x + -18x = 6x 44 + 6x = 3(x + 9) + -1 Reorder the terms: 44 + 6x = 3(9 + x) + -1 44 + 6x = (9 * 3 + x * 3) + -1 44 + 6x = (27 + 3x) + -1 Reorder the terms: 44 + 6x = 27 + -1 + 3x Combine like terms: 27 + -1 = 26 44 + 6x = 26 + 3x Solving 44 + 6x = 26 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 44 + 6x + -3x = 26 + 3x + -3x Combine like terms: 6x + -3x = 3x 44 + 3x = 26 + 3x + -3x Combine like terms: 3x + -3x = 0 44 + 3x = 26 + 0 44 + 3x = 26 Add '-44' to each side of the equation. 44 + -44 + 3x = 26 + -44 Combine like terms: 44 + -44 = 0 0 + 3x = 26 + -44 3x = 26 + -44 Combine like terms: 26 + -44 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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